Learning goals: Teacher Facing Comprehend the terms “standard form” and “factored form” (in written and spoken language). Use rectangular diagrams to reason about the product of two differences or of a sum and difference and to write equivalent expressions. Use the distributive property to write quadratic expressions given in factored form in standard form. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.6 Introduction to Quadratic Functions, Algebra 1.